Question

If the sum of two angels is 7π/12 and their difference is 15º, Then the circular measure of the greater angle is:
1. 5π/4
2.  2π/3
3.  π/3
4.  3π/4

Answer 1

Correct Answer - Option 3 :  π/3

Let two angles = A and B, where A > B.

∴ A + B = (7π/12)      ...... (1)

A - B = 15º

= (15π/180) radian

= π/12      ...... (2)

On adding both equaation (1) & (2)

⇒ 2A = (7π/12) + (π/12)

⇒ 2A = 8π/12 = 2π/3

∴ A = π/3